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11424840804 = 22331367121453
BaseRepresentation
bin10101010001111100…
…10011110001100100
31002111012212001021000
422220332103301210
5141344224401204
65125401553300
7553055354526
oct125076236144
932435761230
1011424840804
11493302aaa3
12226a1a5830
131100c55840
147a549da16
1546d00d039
hex2a8f93c64

11424840804 has 96 divisors (see below), whose sum is σ = 32374778240. Its totient is φ = 3462839424.

The previous prime is 11424840787. The next prime is 11424840829. The reversal of 11424840804 is 40804842411.

11424840804 is a `hidden beast` number, since 1 + 1 + 4 + 248 + 408 + 0 + 4 = 666.

11424840804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33342 + ... + 154794.

Almost surely, 211424840804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424840804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187389120).

11424840804 is an abundant number, since it is smaller than the sum of its proper divisors (20949937436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11424840804 is a wasteful number, since it uses less digits than its factorization.

11424840804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121546 (or 121538 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 11424840804 in words is "eleven billion, four hundred twenty-four million, eight hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 31356 47034 94068 121453 242906 364359 485812 728718 1093077 1457436 1578889 2186154 3157778 3279231 4372308 4736667 6315556 6558462 8137351 9473334 13116924 14210001 16274702 18946668 24412053 28420002 32549404 42630003 48824106 56840004 73236159 85260006 97648212 105785563 146472318 170520012 211571126 219708477 292944636 317356689 423142252 439416954 634713378 878833908 952070067 1269426756 1904140134 2856210201 3808280268 5712420402 11424840804